Difference between revisions of "1961 IMO Problems/Problem 2"

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{{IMO box|year=1961|num-b=1|num-a=3}}
 
{{IMO box|year=1961|num-b=1|num-a=3}}
==See Also==
 
 
[[1961 IMO Problems]]
 

Revision as of 20:18, 25 October 2007

Problem

Let $a$, $b$, and $c$ be the lengths of a triangle whose area is S. Prove that

$a^2 + b^2 + c^2 \ge 4S\sqrt{3}$

In what case does equality hold?

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.


1961 IMO (Problems) • Resources
Preceded by
Problem 1
1 2 3 4 5 6 Followed by
Problem 3
All IMO Problems and Solutions